{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:35:46Z","timestamp":1777703746978,"version":"3.51.4"},"reference-count":27,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2019,6,25]],"date-time":"2019-06-25T00:00:00Z","timestamp":1561420800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent & Fuzzy Systems"],"published-print":{"date-parts":[[2019,10,9]]},"abstract":"\n \u00a0The concept of an (\u2208\u00a0, \u2208\u00a0\u2228\u00a0(\n k<\/jats:italic>\n *<\/jats:sup>\n ,\n q<\/jats:italic>\n \n k<\/jats:italic>\n <\/jats:sub>\n ))-fuzzy semiprime subset in an ordered semigroup is introduced, and investigate the properties of (\u2208\u00a0, \u2208\u00a0\u2228\u00a0(\n k<\/jats:italic>\n *<\/jats:sup>\n ,\n q<\/jats:italic>\n \n k<\/jats:italic>\n <\/jats:sub>\n ))-fuzzy generalized bi-ideals by concerning the (\u2208\u00a0, \u2208\u00a0\u2228\u00a0(\n k<\/jats:italic>\n *<\/jats:sup>\n ,\n q<\/jats:italic>\n \n k<\/jats:italic>\n <\/jats:sub>\n ))-fuzzy semiprime subsets. Moreover, some properties of (\u2208\u00a0, \u2208\u00a0\u2228\u00a0(\n k<\/jats:italic>\n *<\/jats:sup>\n ,\n q<\/jats:italic>\n \n k<\/jats:italic>\n <\/jats:sub>\n ))-fuzzy semiprime subsets are defined in terms of its (\n k<\/jats:italic>\n *<\/jats:sup>\n ,\n k<\/jats:italic>\n )-lower part. Finally, completely regular ordered semigroups are characterized in terms of its (\u2208\u00a0, \u2208\u00a0\u2228\u00a0(\n k<\/jats:italic>\n *<\/jats:sup>\n ,\n q<\/jats:italic>\n \n k<\/jats:italic>\n <\/jats:sub>\n ))-fuzzy semiprime generalized bi-ideals and their (\n k<\/jats:italic>\n *<\/jats:sup>\n ,\n k<\/jats:italic>\n )-lower parts.\n <\/jats:p>","DOI":"10.3233\/jifs-190293","type":"journal-article","created":{"date-parts":[[2019,6,28]],"date-time":"2019-06-28T13:10:02Z","timestamp":1561727402000},"page":"4195-4204","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":23,"title":["A new type of fuzzy semiprime subsets in ordered semigroups"],"prefix":"10.1177","volume":"37","author":[{"given":"G.","family":"Muhiuddin","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Tabuk, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ahsan","family":"Mahboob","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Noor","family":"Mohammad Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,6,25]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1080\/16583655.2018.1451067"},{"issue":"2","key":"e_1_3_2_3_2","first-page":"15","article-title":"Prime filters of hyperlattices","volume":"24","author":"Ameri R.","year":"2016","unstructured":"R.Ameri, M.Amiri-Bideshki, A.B.Saeid and S.Hoskova-Mayerova, Prime filters of hyperlattices, An Stiint Univ \u201cOvidius\u201d Constanta SerMat 24(2) (2016), 15\u201326.","journal-title":"An Stiint Univ \u201cOvidius\u201d Constanta SerMat"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2018.2860967"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.3390\/math7020166"},{"issue":"3","key":"e_1_3_2_6_2","first-page":"391","article-title":"Ordered semigroup characterized by their (\u2208, \u2208 \u2228q)-fuzzy bi-ideals","volume":"32","author":"Jun Y.B.","year":"2009","unstructured":"Y.B.Jun, A.Khan and M.Shabir, Ordered semigroup characterized by their (\u2208, \u2208 \u2228q)-fuzzy bi-ideals, Bull Malays Math Soc 32(3) (2009), 391\u2013408.","journal-title":"Bull Malays Math Soc"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s002330010079"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2004.03.015"},{"key":"e_1_3_2_9_2","first-page":"169","article-title":"Left regular and intra-regular ordered semigroup in terms of fuzzy subsets","volume":"14","author":"Kehayopulu N.","year":"2006","unstructured":"N.Kehayopulu and M.Tsingelis, Left regular and intra-regular ordered semigroup in terms of fuzzy subsets, Quasigroups and Related Systems 14 (2006), 169\u2013178.","journal-title":"Quasigroups and Related Systems"},{"issue":"1","key":"e_1_3_2_10_2","first-page":"27","article-title":"On completely regular ordered semigroups","volume":"1","author":"Kehayopulu N.","year":"1998","unstructured":"N.Kehayopulu and M.Tsingelis, On completely regular ordered semigroups, Scinetiae Mathematicae 1(1) (1998), 27\u201332.","journal-title":"Scinetiae Mathematicae"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-16339"},{"issue":"6","key":"e_1_3_2_12_2","first-page":"835","article-title":"Fuzzy fiters of ordered semigroups","volume":"12","author":"Khan M.A.","year":"2016","unstructured":"M.A.Khan and N.M.Khan, Fuzzy fiters of ordered semigroups, Annals of Fuzzy Mathematics and Informatics 12(6) (2016), 835\u2013853.","journal-title":"Annals of Fuzzy Mathematics and Informatics"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1080\/16583655.2018.1520068"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-011-0731-2"},{"key":"e_1_3_2_15_2","first-page":"10","article-title":"Ordered semigroups based on (\u2208, \u2208 \u2228\n k\n \n \u03b4)-fuzzy ideals","author":"Khan F.M.","year":"2018","unstructured":"F.M.Khan, N.Yufeng, H.U.Khan and B.M.Khan, Ordered semigroups based on (\u2208, \u2208 \u2228k\u03b4)-fuzzy ideals, Advances in Fuzzy Systems 2018, 10. 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